Abstract
The aim of this paper is to provide a general description of the Pareto subdifferential (weak and proper) of the sum of two cone-convex set-valued mappings in terms of sequences without any constraint qualifications. As an application, we derive sequential Lagrange multipliers optimality conditions for general set-valued optimization problem in terms of sequential Lagrange multipliers at nearby points for the Pareto efficient solutions, where no constraint qualification is assumed.
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Communicated by Akhtar A. Khan.
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Laghdir, M., Echchaabaoui, E.M. Sequential Pareto Subdifferential Sum Rule for Convex Set-Valued Mappings and Applications. J Optim Theory Appl 198, 1226–1245 (2023). https://doi.org/10.1007/s10957-023-02255-8
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DOI: https://doi.org/10.1007/s10957-023-02255-8